Answer
a. $64$ percent
b. $67$ percent
c. the exponential model
Work Step by Step
a. For year 2013, we have $x=2013-1980=33$. With the linear model $f(x) = x + 31$, we have $f(33) =33 + 31=64$ percent
b. With the exponential model $g(x) = 32.7e^{0.0217x}$, we have $g(33) = 32.7e^{0.0217(33)}\approx67$ percent
c. The bar graph gives a value of $69$ percent; thus the exponential model is better.
